GCD of 270, 396, 144, 726 Calculator

Given Input numbers are 270, 396, 144, 726

In the factoring method, we have to find the divisors of all numbers

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (270, 396, 144, 726) = 6.

Given numbers are 270, 396, 144, 726

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 270, 396, 144, 726 is 6.

Given numbers are 270, 396, 144, 726

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(270, 396) = 5940

GCD(270, 396) = ( 270 x 396 ) / 5940

= 270 / 396

= 270

Step2:

LCM(18, 144) = 144

GCD(18, 144) = ( 18 x 144 ) / 144

= 18 / 144

= 18

Step3:

LCM(18, 726) = 2178

GCD(18, 726) = ( 18 x 726 ) / 2178

= 18 / 726

= 18

So, Greatest Common Divisor of 270, 396, 144, 726 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 402, 120, 488
• GCD of 928, 493, 109, 758
• GCD of 541, 733, 936, 445
• GCD of 558, 373, 704, 727
• GCD of 524, 981, 702, 383

Given numbers are 270, 396, 144, 726
The greatest common divisor of numbers 270, 396, 144, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 396, 144, 726 is 6.

1. What is the GCD of 270, 396, 144, 726?

GCD of given numbers 270, 396, 144, 726 is 6

2. How to calculate the greatest common divisor of 270, 396, 144, 726?

We can find the highest common divisor of 270, 396, 144, 726 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 270, 396, 144, 726 i.e 6.

3. How can I use the GCD of 270, 396, 144, 726Calculator?

Out the numbers 270, 396, 144, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.